What is the answer to log_{10}(x^4)= 1/4 ?

The answer to log_{10}(x^4)= 1/4 is x=sqrt(\sqrt[8]{10)},x=-sqrt(\sqrt[8]{10)}

Solve for x: log_{10}(x^4)= 1/4

The solution is x=sqrt(\sqrt[8]{10)},x=-sqrt(\sqrt[8]{10)}

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lo g_{10} (x^{4}) = \frac{1}{4}

Decimal Notation

x = 1.15478 \dots, x = - 1.15478 \dots

Solution steps

lo g_{10} (x^{4}) = \frac{1}{4}

Apply exponent rule:

a^{2 \cdot n} = (a^{2})^{n}

x^{4} = (x^{2})^{2}

lo g_{10} ((x^{2})^{2}) = \frac{1}{4}

Apply log rules

Solve

Verify Solutions:

True

The solutions are

6 ln (x) = 7.2

\frac{9}{7} lo g_{3} (x) = 10

ln (x) = - \frac{3}{2}

- lo g_{e} (1 - 3 x) = 1

6 ln (4 x - 9) + 14 = 26

What is the answer to log_{10}(x^4)= 1/4 ?
The answer to log_{10}(x^4)= 1/4 is x=sqrt(\sqrt[8]{10)},x=-sqrt(\sqrt[8]{10)}
Solve for x: log_{10}(x^4)= 1/4
The solution is x=sqrt(\sqrt[8]{10)},x=-sqrt(\sqrt[8]{10)}